Adomian's decomposition method and homotopy perturbation method in solving nonlinear equations

Authors:
Jian-Lin Li
Affiliations:
College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 7
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Abstract

The Adomian's decomposition method and the homotopy perturbation method are two powerful methods which consider the approximate solution of a nonlinear equation as an infinite series usually converging to the accurate solution. By theoretical analysis of the two methods, we show, in the present paper, that the two methods are equivalent in solving nonlinear equations.